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An object travels at fifteen feet per minute. How many feet does it travel in 24 minutes and 40 seconds? A) 360 B) 370 C) 367.5 D) 600 E) 960
370 feet
For what value of k will the two equations 2x + 4 = 4(x - 2) and -x + k = 2x - 1 have the same solution? A) 6 B) 2 C) 17 D) -1 E) 20
k = 17
a, b, c and d are numbers of different values such that a + b = d a路b路c = 0 Which of the 4 numbers MUST be equal to 0? A) a B) b C) c D) d E) none
c must be equal to 0.
Line L passes through the points (-2,0) and (0,a). Line LL passes through the points (4,0) and (6,2). What value of a makes the two lines parallel? A) 1/2 B) -2 C) 2 D) -1/2 E) 0
a / 2 = 1 , a = 2
The equation 1/a + 1/|a| = 0 has A) an infinite number of solutions B) no solutions C) 1 solution only D) 2 solutions only E) 3 solutions only
An infinite number of solutions.
A number of the form 213ab, where a and b are digits, has a remainder less than 10 when divided by 100. The sum of all the digits in the above number is equal to 13. Find the digit b. A) 5 B) 7 C) 6 D) 8 E) 9
b = 7
If w workers, working at equal rates, can produce x toys in n days, how many days it takes c workers, working at same equal rates, to produce y toys? A) y路x路c / w B) y路w路c /(w路n) C) y路w/(w路n路c) D) y路w路n / x E) y路w路n / (x路c)
N = (y * n * W) / (c * x)
AB is a diameter of the large circle. The centers C1 and C2 of the smaller circles are on AB. The two small circles are congruent and tangent to each other and to the larger circle. The circumference of circle C1 is 8 蟺. What is the area?
A = Pi * 82 = 64 Pi
Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. 3 are studying German and French; 4 - French and Spanish; 2 - German and Spanish; and none is studying all 3 languages. How many students are not studying any?
80 - (20 + 3 + 8 + 4 + 2 + 7) = 36
What is the area, in square feet, of the triangle whose sides have lengths equal to 10, 6 and 8 feet? A) 480 B) 24 C) 48 D) 30 E) 40
A = (1/2)(6)(8) = 24 feet2
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